Ex 1.2,3
State whether each of the following set is finite or infinite:
(i) The set of lines which are parallel to the x-axis
There are infinite lines parallel to x- axis,
so the set will have infinite elements.
So, our set is infinite.
Ex 1.2,3
State whether each of the following set is finite or infinite:
(ii)The set of letters in the English alphabet
There are 26 letters in English alphabet,
therefore the set will have 26 elements.
∴ The set is finite.
Ex 1.2,3
State whether each of the following set is finite or infinite:
(iii) The set of numbers which are multiple of 5
Multiples of 5 are 5,10,15,20,25,30,35,40……
Multiples of 5 are infinite in number,
so the set will have infinite elements.
So, the set is infinite
Ex 1.2,3
State whether each of the following set is finite or infinite:
(v) The set of circles passing through the origin (0, 0)
Infinite number of circles can pass through the origin,
so the set will have infinite elements.
So, our set is infinite.